`int((x^(5)-x^(4)))/((x^(3)-x^(2)))dx`

int(x^(2)+x^(-4))/(x^(3)-x^(-3))dx=

For integral int f(x- a/x)*(1+a/x^(2))dx , put x-a/x=t For integral int f(x+a/x)*(1-(a)/(x^(2)))dx , put x+a/x =t For integral int f(x^(2)-(a)/(x^(2)))*(x+(a)/(x^(3)))dx , put x^(2)-(a)/(x^(2))=t For integral int f(x^(2)+(a)/(x^(2)))*(x-(a)/(x^(3)))dx , put x^(2)+(a)/(x^(2))=t many integrands can be brought into above forms by suitable reductions or transformations . int(5x^(4)+4x^(5))/((x^(5)+x+1)^(2))dx

int((9x^(2)-4x+5))/((3x^(3)-2x^(2)+5x+1))dx

int(3x^(2))/((x^(3)+4)^(5))dx

Evaluate: int((x^(2)+1)(x^(2)+4))/((x^(2)+3)(x^(2)-5))dx

int_(3)^(5)(x^(2)dx)/(x^(2)-4)

int(x^(3))/((x^(2)-4))dx

int(4x^(3))/((x^(4)+5)^(5))dx

int(4x^(3))/((x^(4)+5)^(5))dx

int(x^(3)+5x^(2)-3)/((x+2))dx